Why is there a FAF database identifier with the code [FS044] even though it says no FAF and why is there an RNAV fix symbol for that point? The code [FS044] means FAF for the approach (What is the difference between VOR(D), VOR(V) and VOR(S) seen in the table?). Also, why there is no FAF in VOR A, B, and C charts, what is the reason for this?
When you fly this approach with old school radio based navigation, you turn from the VOR onto a 224° track and maintain this track for 3 min (for CAT A & B aircraft) or 2 min (for CAT C & D aircraft). Then you turn left to intercept the 044° course towards the VOR (the 224° radial). The final approach starts once you are established on the VOR radial and you are now allowed to descend from 2300' to the MDA. But notice that there is no fixed point, where this happens. The exact location depends on the exact ground speed (and therefore wind) during the outbound leg and how exactly the turn onto final is flown. There is therefore no FAF for this approach.
In the US, the point where you are established would be called the FAP (final approach point), but this terminology is used only for precision approaches under ICAO rules (see e.g. this answer).
However, if you fly this approach in a modern aircraft with RNAV capabilities (e.g. using a FMS), the computer needs to know how to establish the aircraft onto final approach. It does not receive the VOR information (the pilot can and should still cross-check it), so the computer needs the fix [FS044] to define the final approach segment between this fix and the runway. The fix is stored in the database as a FAF, but it does not legally form the FAF for this approach because it is not required to use it (and non-RNAV equipped aircraft could not even identify it).